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Finding the Fourth Proportional to 75,159.72, 103,739.13 and 43,347.78

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Solution

The fourth proportional to 75,159.72, 103,739.13 and 43,347.78 is: 59,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,159.72 : 103,739.13 = 43,347.78 : x
  2. Step 2: Convert to fraction form
    75,159.72/103,739.13 = 43,347.78/x
  3. Step 3: Cross multiply
    75,159.72x = 103,739.13 × 43,347.78
  4. Step 4: Simplify right side
    75,159.72x = 4,496,860,984.63
  5. Step 5: Solve for x
    x = 4,496,860,984.63/75,159.72
  6. Step 6: Final answer
    x = 59,830.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.